100155344520000 has 1680 divisors, whose sum is σ = 419303092060160. Its totient is φ = 20644968960000.

The previous prime is 100155344519999. The next prime is 100155344520013. The reversal of 100155344520000 is 25443551001.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 100155344520000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 12908276121 + ... + 12908283879.

Almost surely, 2^{100155344520000} is an apocalyptic number.

100155344520000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100155344520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209651546030080).

100155344520000 is an abundant number, since it is smaller than the sum of its proper divisors (319147747540160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100155344520000 is a wasteful number, since it uses less digits than its factorization.

100155344520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7950 (or 7914 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 100155344520000 in words is "one hundred trillion, one hundred fifty-five billion, three hundred forty-four million, five hundred twenty thousand".